In music theory and tuning, a **tonality diamond** is a two-dimensional diagram of ratios in which one dimension is the Otonality and one the Utonality. Thus the n-limit tonality diamond is an arrangement in diamond-shape of the set of rational numbers *r*, such that the odd part of both the numerator and the denominator of *r*, when reduced to lowest terms, is less than or equal to the fixed odd number *n*. Equivalently, the diamond may be considered as a set of pitch classes, where a pitch class is an equivalence class of pitches under octave equivalence. The tonality diamond is often regarded as comprising the set of consonances of the n-limit. Although originally invented by Max Friedrich Meyer, the tonality diamond is now most associated with Harry Partch.

Read more about Tonality Diamond: The Diamond Arrangement, Geometry of The Tonality Diamond, Properties of The Tonality Diamond, Size of The Tonality Diamond, Translation To String Length Ratios, See Also

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